Thigpen signed with the Browns on Tuesday, NFL.com's Ian Rapoport reports. After Rex Grossman reportedly turned down an opportunity to sign on and play Sunday, Cleveland has turned to Thigpen, whose last NFL snap came in 2012 as a member of the Bills. Thigpen signed with the Browns in May of 2014 but was cut during the preseason after a less-than-stellar training camp performance. All signs point to him getting the start Sunday against Baltimore, but he's not likely to be a valuable fantasy commodity.